\[\left\{ \begin{matrix} x^{2} - 10y = 17\ \ \ \ (1) \\ y^{2} - 4x = - 46\ \ \ (2) \\ \end{matrix} \right.\ \]
\[\left\{ \begin{matrix} (x - 2)^{2} + (y - 5)^{2} = 0 \\ x^{2} - 10y = 17\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\ \end{matrix} \right.\ \]
\[2^{2} - 10 \cdot 5 = 17\]
\[4 - 50 = 17\]
\[- 46 \neq 17 \Longrightarrow (2;5) \Longrightarrow\]
\[\Longrightarrow не\ решение.\]
\[Нет\ решения \Longrightarrow ч.т.д.\]